Method and apparatus for correcting I/Q mismatch in a wireless communication signal

ABSTRACT

Briefly, some embodiments of the invention may provide devices, systems and methods of in-phase and quadrature mismatch analysis and correction. For example, a method in accordance with an embodiment of the invention may include re-encoding an estimated symbol of an input signal having an in-phase component and a quadrature component, based on an analysis of a mismatch between said in-phase component and said quadrature component.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No. 10/949,330, filed Sep. 27, 2004, entitled “DEVICE, SYSTEM AND METHOD OF I/Q MISMATCH CORRECTION,” the entire disclosures of which is hereby incorporated by reference in its entirety for all purposes.

BACKGROUND OF THE INVENTION

A first wireless communication device may transmit data using an In-phase (I) signal and a Quadrature (Q) signal, which may have a phase-shift of 90 degrees relative to the I signal. The I and Q (I/Q) signals may be received by a second wireless communication device, and may have an I/Q mismatch. For example, an I/Q mismatch may occur when the gain of the I signal is different from the gain of the Q signal, or when the phase-shift between the I and the Q signals in not exactly 90 degrees. An I/Q mismatch, for example, may impair the ability of the second wireless communication device to correctly receive and process data carried by the I/Q signals, or may impair performance of the second communication device, e.g., in high Signal to Noise Ratio (SNR) communications.

Some wireless communication devices may partially mitigate problems related to I/Q mismatch by utilizing highly precise components having matching amplitude and phase characteristic. However, such highly precise components may be very expensive, and their utilization may still result in some I/Q mismatch errors.

BRIEF DESCRIPTION OF THE DRAWINGS

The subject matter regarded as the invention is particularly pointed out and distinctly claimed in the concluding portion of the specification. The invention, however, both as to organization and method of operation, together with features and advantages thereof, may best be understood by reference to the following detailed description when read with the accompanied drawings in which:

FIG. 1 is a schematic block diagram illustration of a wireless communication system including one or more wireless communication devices utilizing I/Q mismatch correction in accordance with exemplary embodiments of the invention;

FIG. 2 is a schematic block diagram illustration of a wireless communication device utilizing I/Q mismatch correction in accordance with exemplary embodiments of the invention; and

FIG. 3 is a schematic flow-chart of a method of I/Q mismatch correction in accordance with exemplary embodiments of the invention.

It will be appreciated that for simplicity and clarity of illustration, elements shown in the figures have not necessarily been drawn to scale. For example, the dimensions of some of the elements may be exaggerated relative to other elements for clarity. Further, where considered appropriate, reference numerals may be repeated among the figures to indicate corresponding or analogous elements.

DETAILED DESCRIPTION OF THE INVENTION

In the following detailed description, numerous specific details are set forth in order to provide a thorough understanding of the invention. However, it will be understood by those of ordinary skill in the art that the invention may be practiced without these specific details. In other instances, well-known methods, procedures, components, units and/or circuits have not been described in detail so as not to obscure the invention.

It should be understood that embodiments of the invention may be used in a variety of applications. Although the invention is not limited in this respect, embodiments of the invention may be used in conjunction with many apparatuses, for example, a receiver, a transceiver, a transmitter-receiver, a wireless communication station, a wireless communication device, a wireless Access Point (AP), a processor, a controller, a modem, a wireless modem, a Personal Digital Assistant (PDA) device, a cellular telephone, a wireless telephone, a Personal Communication Systems (PCS) device, a PDA device which incorporates a wireless communication device, or the like.

FIG. 1 schematically illustrates a block diagram of a wireless communication system 100 including one or more wireless communication devices utilizing I/Q mismatch correction in accordance with exemplary embodiments of the invention. System 100 may include one or more wireless communication devices, for example, devices 101 and 102.

Device 101 and device 102 may communicate between themselves over a shared wireless media 120, which may include, for example, wireless communication links 111 and 112. For example, device 101 may communicate with one or more other devices of system 100 through link 111, and device 102 may communicate with one or more other devices of system 100 through link 112.

In accordance with some embodiments of the invention, device 101 may transmit a wireless communication signal having In-phase (I) and Quadrature (Q) components (referred to herein as “I/Q signal”). As described in detail below, device 102 may receive the I/Q signal, estimate a channel and symbols, re-encode the symbols, and calculate and correct an I/Q mismatch. Device 102 may repeat these operations as may be necessary to sufficiently reduce or eliminate the I/Q mismatch.

FIG. 2 schematically illustrates a block diagram of a wireless communication device 200 utilizing I/Q mismatch correction in accordance with exemplary embodiments of the invention. Device 200 may be an example of device 101 and/or device 102. Device 200 may include, for example, a transmitter 201, a receiver 202, an antenna 203, a memory unit 204, an input unit 205, an output unit 206, a power source 207, a down-converter 230, and a processor 210. Device 200 may include other suitable hardware components and/or software components.

Transmitter 201 may include, for example, a Radio Frequency (RF) transmitter able to transmit wireless communication signals. Receiver 202 may include, for example, a RF receiver able to receive wireless communication signals. In some embodiments, transmitter 201 and receiver 202 may be implemented in the form of a transceiver, a transmitter-receiver, or one or more units able to perform separate or integrated functions of transmitting and/or receiving wireless communication signals, blocks, frames, packets, messages and/or data.

Antenna 203 may include an internal and/or external RF antenna. In some embodiments, for example, antenna 203 may include a dipole antenna, a monopole antenna, an omni-directional antenna, an end fed antenna, a circularly polarized antenna, a micro-strip antenna, a diversity antenna, or any other type of antenna suitable for sending and/or receiving wireless communication signals, blocks, frames, packets, messages and/or data.

Memory unit 204 may include, for example, a Random Access Memory (RAM), a Read Only Memory (ROM), a Dynamic RAM (DRAM), a Synchronous DRAM (SD-RAM), a Flash memory, a volatile memory, a non-volatile memory, a cache memory, a buffer, a short term memory unit, a long term memory unit, or other suitable memory units or storage units. In some embodiments, for example, memory unit 204 may store data transmitted or received by device 200.

Input unit 205 may include, for example, a keypad, a keyboard, one or more keys, a touchpad, a joystick, a mouse, a pointing device, a user interface, one or more buttons, one or more switches, one or more sliders, an on/off button or switch, or other suitable input components. In some embodiments, input unit 205 may input a suitable audio input component, e.g., an internal or external microphone, and/or a suitable video input component, e.g., an internal or external photo camera or a video camera.

Output unit 206 may include, for example, a screen or monitor. In some embodiments, output unit 206 may include a suitable audio output component, e.g., one or more speakers, earphones or headphones. Output unit 206 may optionally include other types of indicators, for example, a vibrator able to vibrate, or a Light Emitting Diode (LED) able to illuminate.

Power source 207 may include one or more batteries or power cells, which may be external and/or internal, rechargeable or non rechargeable. Power source 270 may provide power to one or more components of device 200.

Down-converter 230 may include, for example, a circuit or unit able to down-convert a received signal having I and Q components (referred to herein as “I/Q signal”). For example, in one embodiment, down-converter 230 may include two processing paths as is known in the art, e.g., using mixers, a Local Oscillator (LO), a 90 degrees phase-shifter, Band Pass Filter (BPF) units, Analog to Digital (A/D) converters, and Low Pass Filter (LPF) units.

Processor 210 may include, for example, a Central Processing Unit (CPU), a Digital Signal Processor (DSP), a baseband processor, an application-side processor, a processor core, a microprocessor, a controller, a circuit, circuitry, an Integrated Circuit (IC), a plurality of controllers and/or circuits, a chip, a microchip, or any other suitable multi-purpose or specific processor, circuit or controller. In some embodiments, for example, processor 210 may perform processing operations which may be used in producing signals transmitted by device 200 or in processing signals received by device 200. Processor 210 may include one or more sub-units, for example, an Automatic Gain Control (AGC) unit 211, an I/Q mismatch analysis and correction unit 212, a channel estimator 213, an equalizer 214, and an encoder or re-encoder 215. It is noted that in some embodiments, one or more of these sub-units may be implemented as separate units which may be external or internal to processor 210, or as one or more software modules, software components, micro-code and/or hardware components.

In accordance with some embodiments of the invention, receiver 202 may receive an input signal, e.g., an incoming wireless signal, which may include an I component and a Q component. Down-converter 230 may down-convert the I/Q signal as is known in the art. The I/Q signal may be transferred to processor 210, e.g., to AGC 211 of processor 210, which may control the gain of the I/Q signal as is known in the art.

In some embodiments, channel estimator 213 may estimate a channel based on a Training Sequence (TS) included in the I/Q signal. Then, symbols transmitted in the I/Q signal may be estimated, for example, using equalizer 214 or another suitable sub-optimal decision mechanism, e.g., a mechanism based on a strongest survivor scheme.

In accordance with some embodiments of the invention, the estimated symbols may be re-encoded, for example, using encoder or re-encoder 215. The re-encoded symbols may be transferred to the I/Q analysis and correction unit 212, which may perform I/Q analysis operations and/or I/Q correction operations based on a pre-defined scheme or algorithm; for example, in some embodiments, correction unit 212 may estimate an I/Q mismatch using one or more Least Mean Square (LMS) calculations, e.g., using an LMS algorithm similar to the algorithm presented in pseudo-code as Code 1 and described in detail below. The estimated I/Q mismatch may be corrected or cancelled, for example, by correction unit 212, based on applying a pre-defined correction matrix or correction function, e.g., using a correction function as reflected in Code 1 below. After the appropriate correction operations are applied, the channel may be re-estimated using channel estimator 213 based on the corrected signal, and the symbols may be re-estimated using equalizer 214.

In some embodiments of the invention, the process of re-encoding the symbols using re-encoder 215, performing I/Q mismatch analysis operations and correction operations using correction unit 212, estimating the channel using cannel estimator 213, and estimating the symbols 214, may be performed once or may be repeated a number of times. In one embodiment, for example, a pre-determined number of iterations, e.g., two iterations, of the above-described operations may be performed. In some embodiments, for example, the number of iterations may be based on one or more pre-defined criteria, e.g., iterations may be repeated until a calculated I/Q mismatch is smaller than a pre-defined threshold value, or until a predefined period of time elapses.

In one embodiment, optionally, in a first iteration, the estimation operations performed by channel estimator 213 on the TS, may be performed on a TS that already passed through correction unit 212, e.g., for an initial I/Q mismatch correction and/or analysis. In another embodiment, in a first iteration, a non-corrected TS may be used for initial channel estimation, e.g., as the TS may be too short to allow a reliable I/Q mismatch or analysis process.

In one embodiment, the I/Q mismatch analysis and correction unit 212 may include an analysis module and a correction module, implemented using hardware components and/or software components, integrated as one unit. In another embodiment, the I/Q mismatch analysis and correction unit 212 may include a plurality of sub-modules or sub-components, for example, an analyzer module or analyzer unit to perform an analysis of the I/Q mismatch, and a correction unit to perform correction operations or to correct an I/Q mismatch.

It is noted that in some embodiments, the handling of the I/Q mismatch may allow, for example, reduction or elimination of the I/Q mismatch, and may be followed by other processing operations to further process the I/Q signal as is known in the art.

In some embodiments, correction unit 212 may utilize a pre-defined algorithm, code, function, correction matrix, or other suitable scheme, to perform I/Q mismatch analysis operations and correction operations. In one embodiment, for example, correction unit 212 may use an algorithm based on the following pseudo-code:

for index 1 = 1 :Niterations: %Correction Matrix: Cor=1/(sqrt(B_est)*cos(T_est))* B_est*cos(T_est/2) −sin(T_est/2) ... B_est*sin(T_est/2) cos(T_est/2)]; %d(cor)/d(T_est): BI =sin(T_est)/(sqrt(B_est)*(cos(T_est)){circumflex over (<)}2) * [ B_est*cos(T_est/2)   −sin(T_est/2) ...   ; −B_est*sin(T_est/2)   cos(T_est/2) ] ...   −1/(sqrt(B _ est)*cos(T _est)) *  [B_est/2*sin (T_est/2) 1/2*cos(T_est/2) ...  ; B_est/2*cos(T_est/2) 1/2*sin(T_est/2)]; %d(cor)/d(B_est): B2 =−1/(2*B_estl{circumflex over ( )}1.5*cos(T_est)) *  [B_est*cost(T-est/2) −sin(T _ estl2) ...  ; −B_est*sin(T_est/2) cos(T_est/2) ] ...   + 1/(sqrt(B_est)*cos(T_est)) * [  cos(T_est/2)    0 ...  ; −sin(T _ est/2)    0  ]; B 1_ vector=B 1 (1,1 )+B 1 (1 ,2)+j*(B 1 (2, 1)+B 1 (2,2)); B2_ vector=B2( 1,1 )+B2(1 ,2)+j*(B2(2,1 )+B2(2,2)); %Pass Received Samples via Correction Matrix: for index2= 1 :Nsamples  x=Cor*[real(Vf(index)) ; imag(Vf(index2))];  Vfcor(index2)=x( 1 )+j *x(2);  B1 xlQvec(index2)=B1_vector;  B2xlQvec(index2)=B2_vector; end; SqrErr=(Vfcor−K*Vm); dSqrErr_dB_est=2*real(SqrErr).*real(B2xlQvec)+2*imag(SqrErr).*imag(B2xlQvec); dScrErr_dT_est=2*real(SqrErr).*real(B1 xlQvec)+2*imag(SqrErr).*imag(B1xlQvec); B_est=B_est+sign*StepSize_B*sum(dSqrErr_dB_est); T_est=T_est+sign*StepSize_T*sum(dSqrErr_dT_est); end;

Code 1

wherein:

Cor may indicate an I/Q mismatch correction matrix;

B_est may indicate a gain mismatch estimation;

T_est may indicate a phase mismatch estimation;

Vcor may indicate a signal after I/Q mismatch correction;

Vm may indicate an expected signal, e.g., re-encoded symbols;

Vf may indicate a received signal, e.g., having an I/Q mismatch;

B 1 may indicate d(cor)/d(T_est);

B2 may indicate d(cor)/d(B_est);

SqrErr, may indicate a complex error function between Vm and Vf;

dSqrErr_dB_est may indicate the gradient of SqrErr with respect to B_est; and

dSqrErr_dT_est may indicate the gradient of SqrErr with respect to T_est.

Although embodiments of the invention are not limited in this regard, execution of Code I may apply a correction matrix, Cor, which may be the inverse matrix of a gain and/or phase mismatch model corresponding to the received I and Q components. For linearity reasons, if the two unknown parameters of an I/Q mismatch, namely, a gain mismatch and a phase mismatch, were a-priory known, then the multiplication of received distorted samples with Cor may yield a signal with significantly reduced or eliminated I/Q mismatch. Since the gain mismatch parameter and/or the phase mismatch parameter may not be a-priory known, Code 1 may implement a LMS algorithm to find substantially best values per iteration. For example, Code 1 may determine the value of a gain mismatch (namely, B_est) and the value of a phase mismatch (namely. T_est) that may minimize the error between the expected signal (namely, Vm) and the distorted signal (namely. Vr) multiplied by the correction matrix (namely, Cor). This may be performed, for example, by determining values that result in substantially zero gradient of the error function with respect to the two unknown parameters, namely, the gain mismatch parameter and the phase mismatch parameters. In some embodiments, for example, the shapes of the gradients (namely, B1 and B2) may be analytically defined or determined. In one embodiment, for example, the algorithm may begin with an initial random value, then calculate the error function, and then iteratively update the estimation of B_est and T_est based on the magnitude and direction of the gradient, thereby minimizing the error function and yielding the best fit for the Cor matrix. Upon finding the best fit, the received samples may be multiplied by the Cor matrix in order to cancel the I/Q mismatch.

It is noted that Code 1 is presented herein for exemplary purposes only, and embodiments of the invention are not limited in this regard and may utilize other suitable algorithms, functions, codes, pseudo-codes, instructions, correction matrices, procedures, sets of instructions, schemes, calculations, equations, formulae, parameters, or the like.

FIG. 3 is a schematic flow-chart of a method of I/Q mismatch correction in accordance with exemplary embodiments of the invention. The method may be used, for example, by system 100 of FIG. 1, by device 101 or device 102 of FIG. 1, by device 200 of FIG. 2, by processor 210 and/or correction unit 212 of FIG. 2, or by other suitable processors, controllers, circuits, units, wireless communication devices, stations, systems and/or networks. In some embodiments, the method may be used, for example, to digitally correct or cancel an I/Q mismatch, or to correct or cancel an I1Q mismatch of a signal in a digital format.

As indicated at box 310, the method may include, for example, receiving an I/Q signal, e.g., by processor 201. As indicate at box 320, the method may include, for example, performing channel estimation based on a Training Sequence (TS) included in the I/Q signal, e.g., by channel estimator 213. As indicated at box 330, the method may include estimating symbols transmitted in the I/Q signal, for example, using equalizer 214.

As indicated at box 340, the method may include, for example, re-encoding the estimated symbols, e.g., using re-encoder 215. As indicated at box 350, the method may include, for example, performing I/Q mismatch analysis, e.g., by correction unit 212. These operations may be performed, for example, based on a pre-defined scheme or algorithm. For example, LMS calculations may be used to estimate an I/Q mismatch, e.g., using an algorithm similar to the algorithm presented in pseudo-code as Code 1.

As indicated at box 360, the method may include correcting or canceling the estimated IIQ mismatch. This may be performed, for example, by correction unit 212 based on a pre-defined correction matrix or correction function, e.g., a correction function similar to that reflected in Code 1.

As indicated by arrow 370, the channel estimation operations of block 320, the symbols estimation operations of box 330, the re-encoding operations of box 340, the I/Q mismatch analysis operations of box 350, and the I/Q mismatch correcting or canceling operations of box 360, may be repeated for one or more iterations. In one embodiment, for example, a predetermined number of iterations, e.g., two iterations, of the above-described operations may be performed. In some embodiments, for example, the number of iterations may be based on one or more pre-defined criteria, e.g., a series of iterations may be repeated until a calculated I/Q mismatch is smaller than a pre-defined threshold value, or until a pre-defined period of time elapses. In some embodiments, results or corrected data produced in a first iteration may be used as the starting values for the operations of a second, subsequent, iteration.

In some embodiments, the I/Q analysis operations and/or I/Q correction operations of box 350, and the correcting or canceling operations of box 360, may utilize a pre-defined algorithm, code, function, correction matrix, or scheme. In one embodiment, for example, the method may include using an algorithm similar to the algorithm presented in the pseudo-code of Code 1 above.

Other suitable operations or sets of operations may be used in accordance with embodiments of the invention.

Some embodiments of the invention may be implemented by software, by hardware, or by any combination of software and/or hardware as may be suitable for specific applications or in accordance with specific design requirements. Embodiments of the invention may include units and/or sub-units, which may be separate of each other or combined together, in whole or in part, and may be implemented using specific, multi-purpose or general processors, circuits or controllers, or devices as are known in the art. Some embodiments of the invention may include buffers, registers, storage units and/or memory units, for temporary or long-term storage of data or in order to facilitate the operation of a specific embodiment.

Some embodiments of the invention may be implemented, for example, using a machine-readable medium or article which may store an instruction or a set of instructions that, if executed by a machine, for example, by device 101, by device 102, by device 200, by processor 210, by correction unit 212, by re-encoder 215, or by other suitable machines, cause the machine to perform a method and/or operations in accordance with embodiments of the invention. Such machine may include, for example, any suitable processing platform, computing platform, computing device, processing device, computing system, processing system, computer, processor, or the like, and may be implemented using any suitable combination of hardware and/or software. The machine-readable medium or article may include, for example, any suitable type of memory unit (e.g., memory unit 204), memory device, memory article, memory medium, storage device, storage article, storage medium and/or storage unit, for example, memory, removable or non-removable media, erasable or non-erasable media, writeable or rewriteable media, digital or analog media, hard disk, floppy disk, Compact Disk Read Only Memory (CD-ROM), Compact Disk Recordable (CD-R), Compact Disk Re-Writeable (CD-RW), optical disk, magnetic media, various types of Digital Versatile Disks (DVDs), a tape, a cassette, or the like. The instructions may include any suitable type of code, for example, source code, compiled code, interpreted code, executable code, static code, dynamic code, or the like, and may be implemented using any suitable high-level, low-level, object-oriented, visual, compiled and/or interpreted programming language, e.g., C, C++, Java, BASIC, Pascal, Fortran, Cobol, assembly language, machine code, or the like.

While certain features of the invention have been illustrated and described herein, many modifications, substitutions, changes, and equivalents may occur to those skilled in the art. It is, therefore, to be understood that the appended claims are intended to cover all such modifications and changes as fall within the true spirit of the invention. 

What is claimed is:
 1. A method executable by a wireless communication device, the method comprising: receiving a signal, wherein the signal includes an in-phase component and a quadrature component; estimating one or more symbols within the signal; analyzing a mismatch between the in-phase component of the signal and the quadrature component of the signal; based upon analyzing the mismatch between the in-phase component of the signal and the quadrature component of the signal, re-encoding the one or more symbols within the signal to generate a re-encoded signal; and multiplying the re-encoded signal by a correction matrix to correct the mismatch between the in-phase component and the quadrature component in the re-encoded signal to thereby generate a corrected re-encoded signal, wherein the correction matrix is an inverse matrix of a substantially best value gain mismatch and substantially best value phase mismatch model of the in-phase component and the quadrature component.
 2. The method of claim 1, wherein the signal is received via a channel, and the method further comprises: estimating the channel; and based upon the corrected re-encoded signal, re-estimating the channel.
 3. The method of claim 2, wherein the estimating the channel comprises estimating the channel based on a training sequence included in the signal.
 4. The method of claim 3, further comprising, based upon the corrected re-encoded signal, re-estimating the one or more symbols of the signal.
 5. The method of claim 4, further comprising repeating, two or more times, (i) the re-encoding the one or more symbols of the signal, (ii) the multiplying the re-encoded signal by the correction matrix, (iii) the re-estimating the channel, and (iv) the re-estimating the one or more symbols.
 6. The method of claim 5, wherein the repeating comprises: repeating (i) the re-encoding the one or more symbols of the signal, (ii) the multiplying the re-encoded signal by the correction matrix, (iii) the re-estimating the channel, and (iv) the re-estimating the one or more symbols, until a calculated mismatch between the in-phase component and the quadrature component is smaller than a pre-defined threshold.
 7. The method of claim 6, further comprising determining, using a Least Mean Square algorithm, (i) the substantially best value gain mismatch and (ii) the substantially best value phase mismatch.
 8. A wireless communication device comprising: a receiver configured to receive a signal having an in-phase component and a quadrature component; an equalizer configured to estimate one or more symbols within the signal; a correction unit configured to analyze a mismatch between the in-phase component of the signal and the quadrature component of the signal; and an encoder configured to re-encode, based upon analyzing the mismatch between the in-phase component of the signal and the quadrature component of the signal, the one or more symbols within the signal to generate a re-encoded signal; wherein the correction unit is further configured to multiply the re-encoded signal by a correction matrix to correct the mismatch between the in-phase component and the quadrature component in the re-encoded signal to thereby generate a corrected re-encoded signal, wherein the correction matrix is an inverse matrix of a substantially best value gain mismatch and substantially best value phase mismatch model of the in-phase component and the quadrature component.
 9. The wireless communication device of claim 8, wherein: the signal is received by the receiver via a channel; and the wireless communication device further comprises a channel estimator configured to i) estimate a channel of the signal, and ii) re-estimate, based upon the corrected re-encoded signal, the channel.
 10. The wireless communication device of claim 9, wherein the channel estimator is configured to estimate, based on a training sequence included in the signal, the channel.
 11. The wireless communication device of claim 10, wherein the channel estimator is configured to, based upon the corrected re-encoded signal, re-estimate the one or more symbols of the signal.
 12. The wireless communication device of claim 11, wherein the wireless communication device is configured to repeat, two or more times, (i) re-encoding the one or more symbols of the signal, (ii) multiplying the re-encoded signal by the correction matrix, (iii) re-estimating the channel, and (iv) re-estimating the one or more symbols.
 13. The wireless communication device of claim 12, wherein the wireless communication device is configured to repeat (i) re-encoding the one or more symbols of the signal, (ii) multiplying the re-encoded signal by the correction matrix, (iii) re-estimating the channel, and (iv) re-estimating the one or more symbols, until a calculated mismatch between the in-phase component and the quadrature component is smaller than a pre-defined threshold.
 14. An article comprising: a non-transitory computer-readable storage medium; and instructions tangibly stored in the non-transitory computer-readable storage medium, the instructions being executable by a programmable processor to enable the programmable processor to estimate one or more symbols within a signal; analyze a mismatch between the in-phase component of the signal and the quadrature component of the signal; re-encode, based upon analyzing the mismatch between the in-phase component of the signal and the quadrature component of the signal, the one or more symbols within the signal to generate a re-encoded signal; and multiply the re-encoded signal by a correction matrix to correct the mismatch between the in-phase component and the quadrature component in the re-encoded signal to thereby generate a corrected re-encoded signal, wherein the correction matrix is an inverse matrix of a substantially best value gain mismatch and substantially best value phase mismatch model of the in-phase component and the quadrature component.
 15. The article of claim 14, wherein the instructions are further configured to further enable the programmable processor to: estimate a channel; and re-estimate, based upon the corrected re-encoded signal, the channel.
 16. The article of claim 15, wherein the channel is estimated based on a training sequence included in the signal.
 17. The article of claim 16, wherein the one or more symbols of the signal are re-estimated based upon the corrected re-encoded signal.
 18. The article of claim 17, wherein the instructions are further configured to further enable the programmable processor to repeat, two or more times, (i) re-encoding the one or more symbols of the signal, (ii) multiplying the re-encoded signal by the correction matrix, (iii) re-estimating the channel, and (iv) re-estimating the one or more symbols.
 19. The article of claim 18, wherein the instructions are further configured to further enable the programmable processor to repeat (i) re-encoding the one or more symbols of the signal, (ii) multiplying the re-encoded signal by the correction matrix, (iii) re-estimating the channel, and (iv) re-estimating the one or more symbols, until a calculated mismatch between the in-phase component and the quadrature component is smaller than a pre-defined threshold. 